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Finding the Third Proportional to 115,194 and 180,316

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Solution

The third proportional to 115,194 and 180,316 is: 282,253.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,194 : 180,316 = 180,316 : x
  2. Step 2: Convert to fraction form
    115,194/180,316 = 180,316/x
  3. Step 3: Cross multiply
    115,194x = 180,316 × 180,316
  4. Step 4: Simplify right side
    115,194x = 32,513,859,856
  5. Step 5: Solve for x
    x = 32,513,859,856/115,194
  6. Step 6: Final answer
    x = 282,253.07

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.